What is the 2550th prime number?
The 2550th prime number is 22817. The next prime is 22853 (a gap of 36) and the one before is 22811.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2550th one is 22817.
- 2
22817 is prime because no prime up to ā22817 ā 151.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2550th prime is close to 2550 Ć ln(2550) ā 20002, and here it is 22817.
- 4
22817 has no twin: neither 22815 nor 22819 is prime.
Primes around the 2550th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2547 | 22787 | 4 |
| 2548 | 22807 | 20 |
| 2549 | 22811 | 4 |
| 2550 | 22817 | 6 |
| 2551 | 22853 | 36 |
| 2552 | 22859 | 6 |
| 2553 | 22861 | 2 |
Questions
What is the 2550th prime number?
22817.
Which prime number is 22817?
22817 is the 2550th prime number.
What is the sum of the first 2550 primes?
27,340,639.